3 papers
math.PR2026
Normal approximation for iterated inner functions
Yukun Chen, Xiangdi Fu, Zhaofeng Lin +1
A Berry--Esséen theorem for linear combinations of iterates of an inner function is obtained. Our proof, which is based an elementary transfer argument and classical results in ma…
math.PR2025
Salem properties of Dvoretzky random coverings
Yukun Chen, Xiangdi Fu, Zhaofeng Lin +1
We establish the Salem properties for the uncovered sets in the celebrated Dvoretzky random coverings of the unit circle.
math.PR2025
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus
Yukun Chen, Zhaofeng Lin, Yanqi Qiu
We determine the exact values of the Fourier dimensions for Gaussian Multiplicative Chaos measures on the -dimensional torus for all integers . This reso…